Consider the Haber-Bosch process for the synthesis of ammonia from its elements. Calculate the theoretical yield in moles NH from the complete reaction of 59.8 grams N₂ in the presence of excess H₂ gas according to the following balanced chemical equation: STARTING AMOUNT ADD FACTOR x( ) X N₂(g) + 3 H₂(g) → 2 NH₂(g) ANSWER RESET 3

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# Haber-Bosch Process: Calculating Theoretical Yield of Ammonia

The Haber-Bosch process is used for the synthesis of ammonia (\( \text{NH}_3 \)) from its elements. This exercise involves calculating the theoretical yield of ammonia, in moles, from the complete reaction of 59.8 grams of nitrogen (\( \text{N}_2 \)) in the presence of excess hydrogen (\( \text{H}_2 \)) gas. The reaction follows the balanced chemical equation:

\[ \text{N}_2(g) + 3 \, \text{H}_2(g) \rightarrow 2 \, \text{NH}_3(g) \]

### Calculation Steps:

1. **Starting Amount:**
   - Determine the amount of \( \text{N}_2 \) in grams.
   
2. **Equation Conversion:**
   - Use the balanced chemical equation to find the molar ratio between \( \text{N}_2 \) and \( \text{NH}_3 \).

3. **Calculation Input:**
   - The available starting amount in the illustration is 59.8 grams of \( \text{N}_2 \).

4. **Molar Masses:**
   - The molar mass of \( \text{N}_2 \) is 28.02 g/mol.
   - The molar mass of \( \text{NH}_3 \) is 17.04 g/mol.
   
5. **Stoichiometry Factors:**
   - From balanced equation: 1 mole \( \text{N}_2 \) produces 2 moles of \( \text{NH}_3 \).

6. **Calculating Moles:**
   - Convert grams of \( \text{N}_2 \) to moles.
   - Apply stoichiometry to find moles of \( \text{NH}_3 \).

7. **Interactive Features:**
   - The interface allows inputs for stepwise calculation using provided values such as molar masses and starting amount. 
   - Users can multiply factors and insert values into the calculation module to derive the final answer.

### Graphical/Interactive Explanation:

- **Starting Amount Box:**
  - Enter initial mass or amount.

- **Factor Inputs:**
  - Panels to input conversion ratios and constants of stoichiometry.

- **Result Calculation:**
  - Calculate theoretical yield by combining entered variables according
Transcribed Image Text:# Haber-Bosch Process: Calculating Theoretical Yield of Ammonia The Haber-Bosch process is used for the synthesis of ammonia (\( \text{NH}_3 \)) from its elements. This exercise involves calculating the theoretical yield of ammonia, in moles, from the complete reaction of 59.8 grams of nitrogen (\( \text{N}_2 \)) in the presence of excess hydrogen (\( \text{H}_2 \)) gas. The reaction follows the balanced chemical equation: \[ \text{N}_2(g) + 3 \, \text{H}_2(g) \rightarrow 2 \, \text{NH}_3(g) \] ### Calculation Steps: 1. **Starting Amount:** - Determine the amount of \( \text{N}_2 \) in grams. 2. **Equation Conversion:** - Use the balanced chemical equation to find the molar ratio between \( \text{N}_2 \) and \( \text{NH}_3 \). 3. **Calculation Input:** - The available starting amount in the illustration is 59.8 grams of \( \text{N}_2 \). 4. **Molar Masses:** - The molar mass of \( \text{N}_2 \) is 28.02 g/mol. - The molar mass of \( \text{NH}_3 \) is 17.04 g/mol. 5. **Stoichiometry Factors:** - From balanced equation: 1 mole \( \text{N}_2 \) produces 2 moles of \( \text{NH}_3 \). 6. **Calculating Moles:** - Convert grams of \( \text{N}_2 \) to moles. - Apply stoichiometry to find moles of \( \text{NH}_3 \). 7. **Interactive Features:** - The interface allows inputs for stepwise calculation using provided values such as molar masses and starting amount. - Users can multiply factors and insert values into the calculation module to derive the final answer. ### Graphical/Interactive Explanation: - **Starting Amount Box:** - Enter initial mass or amount. - **Factor Inputs:** - Panels to input conversion ratios and constants of stoichiometry. - **Result Calculation:** - Calculate theoretical yield by combining entered variables according
**Stoichiometry Calculation:**

**Objective:**
Determine the moles of carbon (C) needed to react with 1.42 moles of sulfur dioxide (SO₂) according to the chemical equation:

\[ 5 \, \text{C(s)} + 2 \, \text{SO}_2\text{(g)} \rightarrow \text{CS}_2\text{(g)} + 4 \, \text{CO(g)} \]

**Steps and Input Fields:**

1. **Starting Amount:**
   - Input box to enter the initial amount of a reactant or product.

2. **Calculation Setup:**
   - A multiplication factor \( \left(\frac{\text{Required Stoichiometric Coefficient}}{\text{Given Stoichiometric Coefficient}}\right) \) is used to determine the amount needed from the reaction coefficients.

**Controls:**

- **Add Factor:** Allows input of additional multiplication factors as necessary for calculations.
- **Answer Box:** Displays the calculated answer.
- **Reset Button:** Clears inputs for new calculations.

**Available Constants and Values:**

- **Molar Masses and Amounts:**
  - 3.55 g/mol C
  - 64.06 g/mol SO₂
  - 76.14 g/mol CO
  - 28.01 g/mol CS₂
  - 1.78 mol CO
  - 0.71 mol CS₂
  - 2, 3, 4, 5 (coefficients from the reaction)
  - 1.42 mol SO₂
  - 12.01 g/mol (unidentified substance)

**Color Coding:**

- Red text highlights key amounts and substances in the problem.

By filling in the appropriate fields and performing the correct stoichiometric calculations, the moles of carbon needed for the reaction with sulfur dioxide can be determined using the provided reaction equation and stoichiometric coefficients.
Transcribed Image Text:**Stoichiometry Calculation:** **Objective:** Determine the moles of carbon (C) needed to react with 1.42 moles of sulfur dioxide (SO₂) according to the chemical equation: \[ 5 \, \text{C(s)} + 2 \, \text{SO}_2\text{(g)} \rightarrow \text{CS}_2\text{(g)} + 4 \, \text{CO(g)} \] **Steps and Input Fields:** 1. **Starting Amount:** - Input box to enter the initial amount of a reactant or product. 2. **Calculation Setup:** - A multiplication factor \( \left(\frac{\text{Required Stoichiometric Coefficient}}{\text{Given Stoichiometric Coefficient}}\right) \) is used to determine the amount needed from the reaction coefficients. **Controls:** - **Add Factor:** Allows input of additional multiplication factors as necessary for calculations. - **Answer Box:** Displays the calculated answer. - **Reset Button:** Clears inputs for new calculations. **Available Constants and Values:** - **Molar Masses and Amounts:** - 3.55 g/mol C - 64.06 g/mol SO₂ - 76.14 g/mol CO - 28.01 g/mol CS₂ - 1.78 mol CO - 0.71 mol CS₂ - 2, 3, 4, 5 (coefficients from the reaction) - 1.42 mol SO₂ - 12.01 g/mol (unidentified substance) **Color Coding:** - Red text highlights key amounts and substances in the problem. By filling in the appropriate fields and performing the correct stoichiometric calculations, the moles of carbon needed for the reaction with sulfur dioxide can be determined using the provided reaction equation and stoichiometric coefficients.
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